EP3812712B1 - Fluid flow analysis - Google Patents
Fluid flow analysis Download PDFInfo
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- EP3812712B1 EP3812712B1 EP19204453.5A EP19204453A EP3812712B1 EP 3812712 B1 EP3812712 B1 EP 3812712B1 EP 19204453 A EP19204453 A EP 19204453A EP 3812712 B1 EP3812712 B1 EP 3812712B1
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- fluid flow
- variations
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- 239000012530 fluid Substances 0.000 title claims description 129
- 238000005206 flow analysis Methods 0.000 title 1
- 238000005259 measurement Methods 0.000 claims description 153
- 238000012544 monitoring process Methods 0.000 claims description 43
- 230000003287 optical effect Effects 0.000 claims description 37
- 238000000034 method Methods 0.000 claims description 23
- 230000002123 temporal effect Effects 0.000 claims description 15
- 230000005670 electromagnetic radiation Effects 0.000 claims description 13
- 230000002452 interceptive effect Effects 0.000 claims description 10
- 238000005305 interferometry Methods 0.000 claims description 6
- 238000004141 dimensional analysis Methods 0.000 claims description 5
- 238000001914 filtration Methods 0.000 claims description 3
- 238000005452 bending Methods 0.000 description 6
- 238000010438 heat treatment Methods 0.000 description 6
- 230000010287 polarization Effects 0.000 description 5
- 230000035939 shock Effects 0.000 description 3
- 230000001427 coherent effect Effects 0.000 description 2
- 238000009472 formulation Methods 0.000 description 2
- 239000007788 liquid Substances 0.000 description 2
- 239000000203 mixture Substances 0.000 description 2
- 230000003362 replicative effect Effects 0.000 description 2
- 238000011144 upstream manufacturing Methods 0.000 description 2
- 238000010521 absorption reaction Methods 0.000 description 1
- 230000002411 adverse Effects 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 238000005314 correlation function Methods 0.000 description 1
- 230000000593 degrading effect Effects 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 230000005855 radiation Effects 0.000 description 1
Images
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/704—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow using marked regions or existing inhomogeneities within the fluid stream, e.g. statistically occurring variations in a fluid parameter
- G01F1/708—Measuring the time taken to traverse a fixed distance
- G01F1/7086—Measuring the time taken to traverse a fixed distance using optical detecting arrangements
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/704—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow using marked regions or existing inhomogeneities within the fluid stream, e.g. statistically occurring variations in a fluid parameter
- G01F1/708—Measuring the time taken to traverse a fixed distance
- G01F1/712—Measuring the time taken to traverse a fixed distance using auto-correlation or cross-correlation detection means
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01P—MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
- G01P5/00—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft
- G01P5/26—Measuring speed of fluids, e.g. of air stream; Measuring speed of bodies relative to fluids, e.g. of ship, of aircraft by measuring the direct influence of the streaming fluid on the properties of a detecting optical wave
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/66—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by measuring frequency, phase shift or propagation time of electromagnetic or other waves, e.g. using ultrasonic flowmeters
- G01F1/661—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by measuring frequency, phase shift or propagation time of electromagnetic or other waves, e.g. using ultrasonic flowmeters using light
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
- G01N2021/416—Visualising flow by index measurement
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
- G01N21/45—Refractivity; Phase-affecting properties, e.g. optical path length using interferometric methods; using Schlieren methods
Definitions
- the present disclosure relates to a sensor arrangement for measuring properties of a fluid flow. More particularly, the present invention relates to a nonintrusive analysis of a fluid flow based on differential interferometry.
- US 2004/113081 A1 relates to measuring the velocity of a flowing gas by detecting the pattern of infrared absorption of the gas stream at two locations spaced apart in the direction of flow and measuring the time lapse between the sensing of the same radiation pattern by the first and second sensors.
- the velocity can be derived from the time lapse and the known distance between the sensors.
- US 2019/0293543 A1 relates to measuring the properties of a liquid by exploiting the power modulation a laser light beam undergoes due to the retroreflection of the laser light beam itself towards the laser cavity from which the laser is generated when this laser light is directed towards a transparent conduit through which the liquid for which the properties are to be measured flows.
- WO 01/90700 A2 relates to monitoring the flow rate of a fluid stream by heating the stream with a heating member to induce a change in the refractive index of the fluid, detecting the change in the refractive index of the fluid at a location remote from the heating member, and calculating the flow rate of the fluid from the change in the refractive index.
- the present invention provides a method for analyzing a fluid flow according to claim 1 and a fluid flow analyzer according to claim 7.
- the fluid flow may be analyzed non-intrusively.
- the formulation "determining whether a first density variation, which is detected by monitoring the first measurement region, and a second density variation, which is detected by monitoring the second measurement region, match" particularly refers to determining whether (or when) a fluid volume that exhibits a (specific) non-uniform density distribution (or a specific density pattern) passes through the first measurement region and the second measurement region.
- the method may further comprise determining a speed of the fluid flow between the first measurement region and the second measurement region based on a time period that passes between a first instant at which the first density variation is detected in the first measurement region and a second instant at which the second density variation is detected in the second measurement region and the distance between the centers of the measurement regions.
- the time period may be determined based on calculating a temporal correlation between first density values detected (or measured) within the first measurement region and second density values detected (or measured) within the second measurement region.
- the distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a size of the first or second measurement region (along an axis through the centers of the first measurement region and the second measurement region).
- the first density variation and the second density variation may be caused, at least in part, by turbulence.
- a turbulent flow which is to be analyzed may exhibit a non-uniform temperature distribution (without intrusive heating).
- intra heating particularly refers to pulsed heating of a location upstream of the first measurement region for (no other purpose than) causing (artificial) temperature variations.
- a density variation caused by a temperature variation travels at the speed of the fluid flow, as opposed to sound waves which travel at the speed of sound through the fluid.
- monitoring the measurement regions for a density variation within the fluid which is caused by a temperature variation allows determining how long it took the fluid volume carrying the temperature variation to travel from the first measurement region to the second measurement region.
- Monitoring the first measurement region for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the first measurement region
- monitoring the second measurement region for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the second measurement region.
- the distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a distance between focus points of the electromagnetic waves within the first measurement region, or a mean distance between the different paths through the first measurement region.
- a shorter distance may facilitate matching, because the temperature gradient may decrease over time as a result of heat conduction from the (relatively) warmer fluid volume to the (relatively) cooler fluid volume.
- Determining whether a first density variation, which is detected by monitoring the first measurement region, and a second density variation, which is detected by monitoring the second measurement region, match comprises calculating a temporal correlation between the intensity of the interfering electromagnetic waves which travel along the different paths through the first measurement region and the intensity of the interfering electromagnetic waves which travel along the different paths through the second measurement region.
- the method may further comprise determining a speed of sound within the fluid flow from a width of a peak of a function of the calculated temporal correlation.
- the method may further comprise monitoring a third measurement region for density variations within the fluid, as the fluid passes the third measurement region, monitoring a fourth measurement region for density variations within the fluid, as the fluid passes the fourth measurement region, and determining whether a third density variation, which is detected by monitoring the third measurement region, and a fourth density variation, which is detected by monitoring the fourth measurement region, match, wherein a first axis passes through the center of the first measurement region and the center of the second measurement region, a second axis passes through the center of the third measurement region and the center of the fourth measurement region, and the first axis and the second axis are not parallel and preferably perpendicular to each other to allow for a two-dimensional analysis of the fluid flow.
- the method may further comprise monitoring a fifth measurement region for density variations within the fluid, as the fluid passes the fifth measurement region, monitoring a sixth measurement region for density variations within the fluid, as the fluid passes the sixth measurement region, and determining whether a fifth density variation, which is detected by monitoring the fifth measurement region, and a sixth density variation, which is detected by monitoring the sixth measurement region, match, wherein a third axis passes through the center of the fifth measurement region and the center of the sixth measurement region, the first axis and the third axis are not parallel and preferably perpendicular to each other, and the second axis and the third axis are not parallel and preferably perpendicular to each other to allow for a three-dimensional analysis of the fluid flow.
- the computing device of the fluid flow analyzer may be configured to neglect intensity variations and/or local maxima caused by sound waves.
- the emitter of the fluid flow analyzer may be a laser and the beams (of electromagnetic radiation) may be laser beams.
- the fluid flow analyzer may comprise optical components.
- the optical components may be configured to split a beam emitted from the emitter and/or focus the resulting beams to a spot in the first and second measurement region, respectively.
- the spots may lie on a line of flow to increase the accuracy when determining the speed of the fluid flow.
- the computing device may be configured to neglect intensity variations and/or local maxima caused by sound waves by filtering intensity variations that are below a threshold.
- the computing device may be configured to determine a speed of the fluid flow between the first measurement region and the second measurement region based on the temporal shift and a distance between the centers of the first measurement region and the second measurement region.
- the distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a size of the first measurement region or the second measurement region (along an axis through the centers of the first measurement region and the second measurement regions).
- the first, second, third and fourth beam may be derived by splitting a beam emitted by the emitter.
- the beam may be split by two Wollaston prisms.
- the fluid flow analyzer may further comprise a third measurement region delimited by a fifth optical path of a fifth beam (of electromagnetic radiation) and a sixth optical path of a sixth beam (of electromagnetic radiation), a fourth measurement region delimited by a seventh optical path of a seventh beam (of electromagnetic radiation) and an eighth optical path of an eighth beam (of electromagnetic radiation), a third sensor for detecting a third intensity of the superimposed fifth and sixth beams, and a fourth sensor for detecting a fourth intensity of the superimposed seventh and eighth beams, wherein the computing device is configured to determine a temporal shift at which a correlation between the fourth intensity and the fifth intensity has a local maximum.
- the first optical path and the fifth optical path may be not parallel and preferably perpendicular to each other to allow for a two-dimensional analysis of the fluid flow.
- Fig. 1 shows a fluid flow analyzer which does not form part of the invention.
- the fluid flow analyzer 10 comprises an emitter 12a (e.g., a laser) which emits a beam 14a of coherent electromagnetic radiation (e.g., a laser beam).
- the beam 14a is split into a first beam 16a and a second beam 16b by optical components 18a arranged within the optical path of the beam 14a.
- the first beam 16a and the second beam 16b traverse a fluid flow 20 and generate an interference pattern that is incident on a first sensor 22a.
- the intensities detected by the first sensor 22a depend on the density of the fluid. This allows detecting a density variation within a fluid volume that crosses the beams 16a, 16b.
- the bending angles of the first and second beams 16a, 16b depend on the refractive indices of the fluid and its surroundings and thus on the density of the fluid. Because the fluid flow 20 exhibits (relatively) cooler parts 20a and (relatively) warmer parts 20b, the bending angles of the first and second beams 16a, 16b change over time when the fluid passes through the measurement region 24a (schematically illustrated by the broken rectangle). As the first beam 16a and the second beam 16b are displaced from each other in the direction of the fluid flow 20 (indicated by the arrows), there is a delay between the bending pattern exhibited by the first beam 16a and the bending pattern exhibited by the second beam 16b.
- a further measurement region 24b is established downstream by replicating the structure described above.
- another emitter 12b e.g., another laser
- a beam 14b of coherent electromagnetic radiation e.g., a laser beam
- the third beam 16c and the fourth beam 16d traverse the fluid flow 20 and generate an interference pattern that is detected by a second sensor 22b.
- the bending angles of the third and fourth beams 16c, 16d change over time when the fluid passes through the measurement region 24b (schematically illustrated by the broken rectangle).
- the third beam 16c and the fourth beam 16d are displaced from each other in the direction of the fluid flow (indicated by the arrows), there is a delay between the bending pattern exhibited by the third beam 16c and the fourth beam 16d.
- the fluid flow analyzer 10 further comprises a computing device 26 for determining a temporal shift ⁇ t at which a correlation C( ⁇ t) between the intensities detected by the sensors 22a, 22b has a local maximum.
- the computing device 26 strives at finding matching density variations which allows calculating a speed of the fluid flow by dividing a distance between the measurement regions 24a, 24b by the temporal shift ⁇ t.
- the computing device 26 may be configured to neglect intensity variations and/or local maxima caused by sound waves. As the density variations caused by sound waves are often smaller in amplitude than the density variations caused by temperature variations, the computing device 26 may be configured to filter intensity variations that are below a threshold. Moreover, sound waves caused by an isotropic turbulent flow may rather widen a correlation peak than adversely affect the calculation of the speed of the fluid.
- Fig. 2 illustrates a modified fluid flow analyzer 10 which is based on two focused laser differential interferometers, FLDIs and differs from the fluid flow analyzer 10 of Fig. 1 in that the dimensions of the measurement regions 24a, 24b (perpendicular to the direction of flow) are reduced to facilitate matching and to improve spatial resolution (perpendicular to the direction of flow) with regard to determining the speed of the flow by dividing the distance D of the measurement regions 24a, 24b by the temporal shift ⁇ t.
- the optical components 18a arranged within the optical path of the beam 14a are replaced by a lens 28a with a short focal length, a quarter wave plate 30a, a Wollaston prism 32a, and a lens 34a that focusses the first and second beams 16a, 16b to different spots within the fluid flow 20.
- the first and second beam 16a, 16b are guided onto the sensor 22a by an inverse optical setting comprising a lens 36a, a Wollaston prism 38a, a quarter wave plate 40a, and a lens 42a with a short focal length.
- a further measurement region 24b is established downstream by replicating said structure.
- the optical components 18b arranged within the optical path of the beam 14b are replaced by a lens 28b with a short focal length, a quarter wave plate 30b, a Wollaston prism 32b, and a lens 34b that focusses the third and fourth beams 16c, 16d to different spots within the fluid flow 20.
- the third and fourth beam 16c, 16d are guided onto the sensor 22b by an inverse setting comprising a lens 36b, a Wollaston prism 38b, a quarter wave plate 40b, and a lens 42b with a short focal length.
- the intensity values detected by the sensors 22a, 22b are provided to the computing device 26 which is configured to determine a temporal shift ⁇ t at which a correlation C( ⁇ t) between the intensities detected by the sensors 22a, 22b has a local maximum.
- the temporal shift indicates the time required for a fluid volume carrying a density variation to travel from the upstream measurement region 24a to the downstream measurement region 24b and allows calculating the speed of the fluid flow between the measurement regions 24a, 24b by dividing the distance D between the (centers of the) measurement regions 24a, 24b by the temporal shift ⁇ t.
- the Distance (D) between the centers of the measurement regions (24a, 24b) is 0.01 m or less.
- Fig. 3 and Fig. 3a illustrate a modified fluid flow analyzer 10 (that may be used for analyzing supersonic or hypersonic fluid flows 20).
- the modified fluid flow analyzer 10 differs from the fluid flow analyzer 10 of Fig. 2 in that the distance D between the measurement regions 24a, 24b (in the direction of flow) is reduced to facilitate matching and increase spatial resolution (in the direction of flow) with regard to measuring the speed of the flow.
- the beam 14 emitted by the emitter 12 e.g., a laser
- the beam 14 is expanded by a lens 28 with a short focal length and the expanded beam 14 is circularly polarized by a first quarter wave plate 30 that has an optical axis which is rotated by 45° relative to the direction of polarization of the incident beam 14.
- the circularly polarized expanded beam 14 is then split into two beams 14a, 14b by a first Wollaston prism 32 which may bend the beams 14a, 14b by less than 5 degrees (e.g., two degrees).
- Beam 14a is circularly polarized by a second quarter wave plate 44 and split into a first beam 16a and a second beam 16b by a second Wollaston prism 46, wherein the direction of polarization of the first beam 16a may be perpendicular to the direction of polarization of the second beam 16b.
- Beam 14b is circularly polarized by the second quarter wave plate 44 and split into a third beam 16c and a fourth beam 16d by the second Wollaston prism 46, wherein the direction of polarization of the third beam 16c may be perpendicular to the direction of polarization of the fourth beam 16d.
- the second Wollaston prism 46 may bend the beams 16a, 16b, 16c, 16d by less than 2.5 degrees (e.g., one degree).
- the beams 16a, 16b, 16c, 16d may be focused to spots within the fluid flow 20.
- the spots may be placed on a line of flow. If a density variation travels along the line of flow, it will be detected subsequently by both sensors 22a, 22b.
- the first and second beams 16a, 16b After traversing the first measurement region 24a, the first and second beams 16a, 16b incide on a third Wollaston prism 38a and a polarizer 48a and cause an interference pattern on the first sensor 22a (e.g., a photodiode which outputs a signal that is proportional to the intensity of the incident electromagnetic radiation).
- the third and fourth beams 16c, 16d After traversing the second measurement region 24b, the third and fourth beams 16c, 16d incide on a fourth Wollaston prism 38b and a polarizer 48b and cause an interference pattern on the second sensor 22b (e.g., a photodiode which outputs a signal that is proportional to the intensity of the incident electromagnetic radiation).
- a distance D between the (centers of the) measurement regions 24a, 24b may be equal to a distance between the focal points of the first beam 16a and the second beam 16b or to a distance of the focal points of the third beam 16c and the fourth beam 16d.
- the distance D between the centers of the measurement regions (24a, 24b) is or less.
- the speed of the fluid may be measured in two or three dimensions.
- Fig. 3b shows graphs from two experiments that are based on the setting described with reference to Fig. 3 and Fig. 3a .
- the top left graph of Fig. 3b shows a first signal S1 output by the first sensor 22a, a second signal S2 output by the second sensor 22b and a signal H indicating the onset of the fluid flow 20 (from the moment of signal rise).
- the top right graph of Fig. 3b shows a first signal S1 output by the first sensor 22a and a second signal S2 output by the second sensor 22b.
- the middle and bottom graphs show the local maxima (peaks) of a correlation function of the first signal S1 and the second signal S2.
- the analyzer 10 is robust against mechanical shocks, as the frequency of such shocks is typically much smaller than the frequency of the signals S1, S2 which allows filtering mechanical shocks without degrading the accuracy of the analyzer 10.
- Fig. 4 shows a flow chart of a method for analyzing a fluid flow that may be practiced based on any one of the analyzers 10 of Fig. 1 to Fig. 3 .
- the method starts at step 50 with monitoring the first measurement region 24a for density variations within the fluid, as the fluid passes the first measurement region 24a. For instance, density variations of the fluid passing through the first measurement region 24a may be detected by interferometry.
- the method continues at step 52 with monitoring the second measurement region 24b for density variations within the fluid, as the fluid passes the second measurement region 24b. For instance, density variations of the fluid passing through the second measurement region 24b may be detected based on interferometry.
- the method ends with determining whether a first density variation, which is detected by monitoring the first measurement region 24a, and a second density variation, which is detected by monitoring the second measurement region 24b, match.
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Description
- The present disclosure relates to a sensor arrangement for measuring properties of a fluid flow. More particularly, the present invention relates to a nonintrusive analysis of a fluid flow based on differential interferometry.
- Differential interferometry allows detecting density gradients in a fluid flow (cf. Smeets, Guenter and Avalos George. "Laser-Differential Interferometer Applications in Gas Dynamics." (1996)).
- Moreover,
US 2004/113081 A1 relates to measuring the velocity of a flowing gas by detecting the pattern of infrared absorption of the gas stream at two locations spaced apart in the direction of flow and measuring the time lapse between the sensing of the same radiation pattern by the first and second sensors. The velocity can be derived from the time lapse and the known distance between the sensors. -
US 2019/0293543 A1 relates to measuring the properties of a liquid by exploiting the power modulation a laser light beam undergoes due to the retroreflection of the laser light beam itself towards the laser cavity from which the laser is generated when this laser light is directed towards a transparent conduit through which the liquid for which the properties are to be measured flows. -
WO 01/90700 A2 - Further background can be found in
WO 91/18280 A1 US 2007/044572 A1 ,US 2011/106397 A1 ,EP1205736 A2 ,EP0952431 A2 ,DE3909621 A1 ,US 2014/130606 A1 , andGB2352033 A - The present invention provides a method for analyzing a fluid flow according to claim 1 and a fluid flow analyzer according to claim 7.
- By monitoring the measurement regions for variations of the refractive index of the fluid, the fluid flow may be analyzed non-intrusively.
- In this regard, the term "measurement region", as used throughout the description and the claims, particularly refers to a region around a fixed location through which (at least a part of) the fluid flows. Moreover, a measurement region may be a region (within the fluid flow) which is delimited by parallel or at least partially overlapping beams of electromagnetic radiation. Moreover, the formulation "monitoring a first measurement region for density variations within the fluid", as used throughout the description and the claims, particularly refers to determining whether a fluid volume that passes through the measurement region exhibits a non-uniform density distribution (or a specific density pattern). Hence, the formulation "determining whether a first density variation, which is detected by monitoring the first measurement region, and a second density variation, which is detected by monitoring the second measurement region, match", as used throughout the description and the claims, particularly refers to determining whether (or when) a fluid volume that exhibits a (specific) non-uniform density distribution (or a specific density pattern) passes through the first measurement region and the second measurement region.
- The method may further comprise determining a speed of the fluid flow between the first measurement region and the second measurement region based on a time period that passes between a first instant at which the first density variation is detected in the first measurement region and a second instant at which the second density variation is detected in the second measurement region and the distance between the centers of the measurement regions.
- For example, the time period may be determined based on calculating a temporal correlation between first density values detected (or measured) within the first measurement region and second density values detected (or measured) within the second measurement region.
- The distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a size of the first or second measurement region (along an axis through the centers of the first measurement region and the second measurement region).
- The first density variation and the second density variation may be caused, at least in part, by turbulence.
- For example, a turbulent flow which is to be analyzed may exhibit a non-uniform temperature distribution (without intrusive heating).
- In this regard, the term "intrusive heating" particularly refers to pulsed heating of a location upstream of the first measurement region for (no other purpose than) causing (artificial) temperature variations.
- A density variation caused by a temperature variation travels at the speed of the fluid flow, as opposed to sound waves which travel at the speed of sound through the fluid. Hence, monitoring the measurement regions for a density variation within the fluid which is caused by a temperature variation allows determining how long it took the fluid volume carrying the temperature variation to travel from the first measurement region to the second measurement region.
- Moreover, if the turbulence is isotropic, sound waves may travel in all directions and hence, the sound waves may not substantially affect (degrade) the monitoring.
- Monitoring the first measurement region for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the first measurement region, and monitoring the second measurement region for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the second measurement region.
- The distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a distance between focus points of the electromagnetic waves within the first measurement region, or a mean distance between the different paths through the first measurement region.
- A shorter distance may facilitate matching, because the temperature gradient may decrease over time as a result of heat conduction from the (relatively) warmer fluid volume to the (relatively) cooler fluid volume.
- Determining whether a first density variation, which is detected by monitoring the first measurement region, and a second density variation, which is detected by monitoring the second measurement region, match comprises calculating a temporal correlation between the intensity of the interfering electromagnetic waves which travel along the different paths through the first measurement region and the intensity of the interfering electromagnetic waves which travel along the different paths through the second measurement region.
- The method may further comprise determining a speed of sound within the fluid flow from a width of a peak of a function of the calculated temporal correlation.
- The method may further comprise monitoring a third measurement region for density variations within the fluid, as the fluid passes the third measurement region, monitoring a fourth measurement region for density variations within the fluid, as the fluid passes the fourth measurement region, and determining whether a third density variation, which is detected by monitoring the third measurement region, and a fourth density variation, which is detected by monitoring the fourth measurement region, match, wherein a first axis passes through the center of the first measurement region and the center of the second measurement region, a second axis passes through the center of the third measurement region and the center of the fourth measurement region, and the first axis and the second axis are not parallel and preferably perpendicular to each other to allow for a two-dimensional analysis of the fluid flow.
- The method may further comprise monitoring a fifth measurement region for density variations within the fluid, as the fluid passes the fifth measurement region, monitoring a sixth measurement region for density variations within the fluid, as the fluid passes the sixth measurement region, and determining whether a fifth density variation, which is detected by monitoring the fifth measurement region, and a sixth density variation, which is detected by monitoring the sixth measurement region, match, wherein a third axis passes through the center of the fifth measurement region and the center of the sixth measurement region, the first axis and the third axis are not parallel and preferably perpendicular to each other, and the second axis and the third axis are not parallel and preferably perpendicular to each other to allow for a three-dimensional analysis of the fluid flow.
- The computing device of the fluid flow analyzer may be configured to neglect intensity variations and/or local maxima caused by sound waves.
- The emitter of the fluid flow analyzer may be a laser and the beams (of electromagnetic radiation) may be laser beams.
- The fluid flow analyzer may comprise optical components. The optical components may be configured to split a beam emitted from the emitter and/or focus the resulting beams to a spot in the first and second measurement region, respectively.
- For example, the spots may lie on a line of flow to increase the accuracy when determining the speed of the fluid flow.
- The computing device may be configured to neglect intensity variations and/or local maxima caused by sound waves by filtering intensity variations that are below a threshold.
- The computing device may be configured to determine a speed of the fluid flow between the first measurement region and the second measurement region based on the temporal shift and a distance between the centers of the first measurement region and the second measurement region.
- The distance between the centers of the first measurement region and the second measurement region may be equal to or less than 100 times, 50 times, 20 times, 10 times or one time a size of the first measurement region or the second measurement region (along an axis through the centers of the first measurement region and the second measurement regions).
- The first, second, third and fourth beam may be derived by splitting a beam emitted by the emitter.
- For example, the beam may be split by two Wollaston prisms.
- The fluid flow analyzer may further comprise a third measurement region delimited by a fifth optical path of a fifth beam (of electromagnetic radiation) and a sixth optical path of a sixth beam (of electromagnetic radiation), a fourth measurement region delimited by a seventh optical path of a seventh beam (of electromagnetic radiation) and an eighth optical path of an eighth beam (of electromagnetic radiation), a third sensor for detecting a third intensity of the superimposed fifth and sixth beams, and a fourth sensor for detecting a fourth intensity of the superimposed seventh and eighth beams, wherein the computing device is configured to determine a temporal shift at which a correlation between the fourth intensity and the fifth intensity has a local maximum.
- The first optical path and the fifth optical path may be not parallel and preferably perpendicular to each other to allow for a two-dimensional analysis of the fluid flow.
- It will be appreciated that the features and attendant advantages of the disclosed method may be realized by the disclosed apparatus and vice versa. Moreover, it is noted that throughout the description, features in brackets are to be regarded as optional.
- The foregoing aspects and many of the attendant advantages will become more readily appreciated as the same becomes better understood by reference to the following description of embodiments, when taken in conjunction with the accompanying drawings, wherein like reference numerals refer to like parts throughout the various views, unless otherwise specified.
-
Fig. 1 and Fig. 1a illustrate the operation of a fluid flow analyzer which may be useful for understanding the present invention, but does not form part of the invention. -
Fig. 2 ad Fig. 2b illustrate the operation of a fluid flow analyzer according to a first embodiment; -
Fig. 3, Fig. 3a , andFig. 3b illustrate the operation of a fluid flow analyzer according to a second embodiment; and -
Fig. 4 shows a flow chart of a method for analyzing a fluid flow. - Notably, the drawings are not drawn to scale and unless otherwise indicated, they are merely intended to conceptually illustrate the structures and procedures described herein.
-
Fig. 1 shows a fluid flow analyzer which does not form part of the invention. - The
fluid flow analyzer 10 comprises anemitter 12a (e.g., a laser) which emits abeam 14a of coherent electromagnetic radiation (e.g., a laser beam). Thebeam 14a is split into afirst beam 16a and asecond beam 16b byoptical components 18a arranged within the optical path of thebeam 14a. Thefirst beam 16a and thesecond beam 16b traverse afluid flow 20 and generate an interference pattern that is incident on afirst sensor 22a. - The intensities detected by the
first sensor 22a depend on the density of the fluid. This allows detecting a density variation within a fluid volume that crosses thebeams - I.e., the bending angles of the first and
second beams fluid flow 20 exhibits (relatively)cooler parts 20a and (relatively)warmer parts 20b, the bending angles of the first andsecond beams measurement region 24a (schematically illustrated by the broken rectangle). As thefirst beam 16a and thesecond beam 16b are displaced from each other in the direction of the fluid flow 20 (indicated by the arrows), there is a delay between the bending pattern exhibited by thefirst beam 16a and the bending pattern exhibited by thesecond beam 16b. - This causes a characteristic change in intensity which can be detected by the
first sensor 22a on which the interfering first andsecond beams second beams first measurement region 24a for detecting density variations within thefluid flow 20. - A
further measurement region 24b is established downstream by replicating the structure described above. I. e., there is anotheremitter 12b (e.g., another laser) that emits abeam 14b of coherent electromagnetic radiation (e.g., a laser beam) which is split into athird beam 16c and afourth beam 16d byoptical components 18b arranged within the optical path of thebeam 14b. Thethird beam 16c and thefourth beam 16d traverse thefluid flow 20 and generate an interference pattern that is detected by asecond sensor 22b. - Because the
fluid flow 20 exhibits (relatively)cooler parts 20a and (relatively)warmer parts 20b, the bending angles of the third andfourth beams measurement region 24b (schematically illustrated by the broken rectangle). As thethird beam 16c and thefourth beam 16d are displaced from each other in the direction of the fluid flow (indicated by the arrows), there is a delay between the bending pattern exhibited by thethird beam 16c and thefourth beam 16d. - This causes a characteristic change in intensity which is detected by the
second sensor 22b on which the interfering third andfourth beams fourth beams second measurement region 24b for detecting density variations within thefluid flow 20. - The
fluid flow analyzer 10 further comprises acomputing device 26 for determining a temporal shift Δt at which a correlation C(Δt) between the intensities detected by thesensors computing device 26 strives at finding matching density variations which allows calculating a speed of the fluid flow by dividing a distance between themeasurement regions - In order to avoid that the result is corrupted by the influence of sound waves that cause density variations that travel through the fluid at the speed of sound, the
computing device 26 may be configured to neglect intensity variations and/or local maxima caused by sound waves. As the density variations caused by sound waves are often smaller in amplitude than the density variations caused by temperature variations, thecomputing device 26 may be configured to filter intensity variations that are below a threshold. Moreover, sound waves caused by an isotropic turbulent flow may rather widen a correlation peak than adversely affect the calculation of the speed of the fluid. -
Fig. 2 illustrates a modifiedfluid flow analyzer 10 which is based on two focused laser differential interferometers, FLDIs and differs from thefluid flow analyzer 10 ofFig. 1 in that the dimensions of themeasurement regions measurement regions - Heretofore, the
optical components 18a arranged within the optical path of thebeam 14a are replaced by alens 28a with a short focal length, aquarter wave plate 30a, aWollaston prism 32a, and alens 34a that focusses the first andsecond beams fluid flow 20. After having traversed themeasurement region 24a, the first andsecond beam sensor 22a by an inverse optical setting comprising alens 36a, aWollaston prism 38a, aquarter wave plate 40a, and alens 42a with a short focal length. - As in
Fig. 1 , afurther measurement region 24b is established downstream by replicating said structure. I. e., theoptical components 18b arranged within the optical path of thebeam 14b are replaced by alens 28b with a short focal length, aquarter wave plate 30b, aWollaston prism 32b, and alens 34b that focusses the third andfourth beams fluid flow 20. After having traversed themeasurement region 24b, the third andfourth beam sensor 22b by an inverse setting comprising alens 36b, aWollaston prism 38b, aquarter wave plate 40b, and alens 42b with a short focal length. - As a difference in optical path length which causes a change in regard to the interference pattern seen by the
sensors measurement regions - The intensity values detected by the
sensors computing device 26 which is configured to determine a temporal shift Δt at which a correlation C(Δt) between the intensities detected by thesensors upstream measurement region 24a to thedownstream measurement region 24b and allows calculating the speed of the fluid flow between themeasurement regions measurement regions -
Fig. 3 and Fig. 3a illustrate a modified fluid flow analyzer 10 (that may be used for analyzing supersonic or hypersonic fluid flows 20). The modifiedfluid flow analyzer 10 differs from thefluid flow analyzer 10 ofFig. 2 in that the distance D between themeasurement regions beam 14 emitted by the emitter 12 (e.g., a laser) is expanded by alens 28 with a short focal length and the expandedbeam 14 is circularly polarized by a firstquarter wave plate 30 that has an optical axis which is rotated by 45° relative to the direction of polarization of theincident beam 14. The circularly polarized expandedbeam 14 is then split into twobeams first Wollaston prism 32 which may bend thebeams -
Beam 14a is circularly polarized by a secondquarter wave plate 44 and split into afirst beam 16a and asecond beam 16b by asecond Wollaston prism 46, wherein the direction of polarization of thefirst beam 16a may be perpendicular to the direction of polarization of thesecond beam 16b.Beam 14b is circularly polarized by the secondquarter wave plate 44 and split into athird beam 16c and afourth beam 16d by thesecond Wollaston prism 46, wherein the direction of polarization of thethird beam 16c may be perpendicular to the direction of polarization of thefourth beam 16d. Thesecond Wollaston prism 46 may bend thebeams - The
beams fluid flow 20. To increase the accuracy when determining the speed of thefluid flow 20, the spots may be placed on a line of flow. If a density variation travels along the line of flow, it will be detected subsequently by bothsensors - After traversing the
first measurement region 24a, the first andsecond beams third Wollaston prism 38a and apolarizer 48a and cause an interference pattern on thefirst sensor 22a (e.g., a photodiode which outputs a signal that is proportional to the intensity of the incident electromagnetic radiation). After traversing thesecond measurement region 24b, the third andfourth beams fourth Wollaston prism 38b and apolarizer 48b and cause an interference pattern on thesecond sensor 22b (e.g., a photodiode which outputs a signal that is proportional to the intensity of the incident electromagnetic radiation). - As shown in
Fig. 3a , a distance D between the (centers of the)measurement regions first beam 16a and thesecond beam 16b or to a distance of the focal points of thethird beam 16c and thefourth beam 16d. The distance D between the centers of the measurement regions (24a, 24b) is or less. Moreover, by using two or three analyzers that measure along non-parallel (e.g., perpendicular) axes, the speed of the fluid may be measured in two or three dimensions. -
Fig. 3b shows graphs from two experiments that are based on the setting described with reference toFig. 3 and Fig. 3a . The top left graph ofFig. 3b shows a first signal S1 output by thefirst sensor 22a, a second signal S2 output by thesecond sensor 22b and a signal H indicating the onset of the fluid flow 20 (from the moment of signal rise). The top right graph ofFig. 3b shows a first signal S1 output by thefirst sensor 22a and a second signal S2 output by thesecond sensor 22b. The middle and bottom graphs show the local maxima (peaks) of a correlation function of the first signal S1 and the second signal S2. As shown inFig. 3b , theanalyzer 10 is robust against mechanical shocks, as the frequency of such shocks is typically much smaller than the frequency of the signals S1, S2 which allows filtering mechanical shocks without degrading the accuracy of theanalyzer 10. -
Fig. 4 shows a flow chart of a method for analyzing a fluid flow that may be practiced based on any one of theanalyzers 10 ofFig. 1 to Fig. 3 . The method starts atstep 50 with monitoring thefirst measurement region 24a for density variations within the fluid, as the fluid passes thefirst measurement region 24a. For instance, density variations of the fluid passing through thefirst measurement region 24a may be detected by interferometry. The method continues atstep 52 with monitoring thesecond measurement region 24b for density variations within the fluid, as the fluid passes thesecond measurement region 24b. For instance, density variations of the fluid passing through thesecond measurement region 24b may be detected based on interferometry. Atstep 54, the method ends with determining whether a first density variation, which is detected by monitoring thefirst measurement region 24a, and a second density variation, which is detected by monitoring thesecond measurement region 24b, match. -
- 10
- fluid flow analyzer
- 12
- emitter
- 12a
- emitter
- 12b
- emitter
- 14
- beam
- 14a
- beam
- 14b
- beam
- 16a
- first beam
- 16b
- second beam
- 16c
- third beam
- 16d
- fourth beam
- 18a
- optical components
- 18b
- optical components
- 20
- fluid flow
- 22a
- sensor
- 22b
- sensor
- 24a
- measurement region
- 24b
- measurement region
- 26
- computing device
- 28
- lens
- 28a
- lens
- 28b
- lens
- 30
- quarter-wave plate
- 30a
- quarter-wave plate
- 30b
- quarter-wave plate
- 32
- Wollaston prism
- 32a
- Wollaston prism
- 32b
- Wollaston prism
- 34
- lens
- 34a
- lens
- 34b
- lens
- 36
- lens
- 36a
- lens
- 36b
- lens
- 38a
- Wollaston prism
- 38b
- Wollaston prism
- 40a
- quarter-wave plate
- 40b
- quarter-wave plate
- 42a
- lens
- 42b
- lens
- 44
- quarter wave plate
- 46
- Wollaston prism
- 48a
- polarizer
- 48b
- polarizer
- 50
- process step
- 52
- process step
- 54
- process step
- D
- distance
Claims (10)
- A method for analyzing a fluid flow (20), the method comprising:monitoring (50) a first measurement region (24a) for density variations within the fluid, as the fluid passes the first measurement region (24a), wherein monitoring (50) the first measurement region (24a) for density variations within the fluid comprises monitoring the first measurement region (24a) for variations of the refractive index of the fluid, as the fluid passes the first measurement region (24a);monitoring (52) a second measurement region (24b) for density variations within the fluid, as the fluid passes the second measurement region (24b), wherein monitoring (52) the second measurement region (24b) for density variations within the fluid comprises monitoring the second measurement region (24b) for variations of the refractive index of the fluid, as the fluid passes the second measurement region (24b);wherein monitoring the first measurement region (24a) for variations of the refractive index of the fluid is based on interferometry and monitoring the second measurement region (24b) for variations of the refractive index of the fluid is based on interferometry;characterized in thatmonitoring the first measurement region (24a) for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the first measurement region (24a);monitoring the second measurement region (24b) for variations of the refractive index of the fluid is based on measuring an intensity of interfering electromagnetic waves which travel along different paths through the second measurement region (24b); anddetermining whether a first density variation, which is detected by monitoring (50) the first measurement region (24a), and a second density variation, which is detected by monitoring (52) the second measurement region (24b), match comprises calculating a temporal correlation between the intensity of the interfering electromagnetic waves which travel along the different paths through the first measurement region (24a) and the intensity of the interfering electromagnetic waves which travel along the different paths through the second measurement region (24b); whereinthe first measurement region (24a) is delimited by a first optical path of a first beam (16a) and a second optical path of a second beam (16b), wherein the first optical path differs from the second optical path; whereinthe second measurement region (24b) is delimited by a third optical path of a third beam (16c) and a fourth optical path of a fourth beam (16d) wherein the third optical path differs from the fourth optical path;wherein the first and second beams (16a, 16b) are focused to different spots within the fluid flow (20);wherein the third and fourth beams (16c, 16d) are focused to different spots within the fluid flow (20); andwherein a distance (D) between centers of the measurement regions (24a, 24b) is 0.01 m or less.
- The method of claim 1, further comprising:
determining a speed of the fluid flow (20) between the first measurement region (24a) and the second measurement region (24b) based on a time period (Δt) that passes between a first instant at which the first density variation is detected in the first measurement region (24a) and a second instant at which the second density variation is detected in the second measurement region (24b) and the distance (D) between the centers of the measurement regions (24a, 24b). - The method of claim 1 or 2,wherein the first density variation and the second density variation are caused, at least in part, by turbulence; and/orwherein the first density variation and the second density variation are caused by a temperature variation resulting from said turbulence.
- The method of claim 1, further comprising:
determining a speed of sound within the fluid flow (20) from a width of a peak of a function of the calculated temporal correlation. - The method of any one of claims 1 to 4, further comprising:monitoring a third measurement region for density variations within the fluid, as the fluid passes the third measurement region;monitoring a fourth measurement region for density variations within the fluid, as the fluid passes the fourth measurement region; anddetermining whether a third density variation, which is detected by monitoring the third measurement region, and a fourth density variation, which is detected by monitoring the fourth measurement region, match;whereina first axis passes through the center of the first measurement region and the center of the second measurement region;a second axis passes through the center of the third measurement region and the center of the fourth measurement region; andthe first axis and the second axis are not parallel and preferably perpendicular to each other to allow for a two-dimensional analysis of the fluid flow.
- The method of claim 5, further comprising:monitoring a fifth measurement region for density variations within the fluid, as the fluid passes the fifth measurement region;monitoring a sixth measurement region for density variations within the fluid, as the fluid passes the sixth measurement region; anddetermining whether a fifth density variation, which is detected by monitoring the fifth measurement region, and a sixth density variation, which is detected by monitoring the sixth measurement region, match;whereina third axis passes through the center of the fifth measurement region and the center of the sixth measurement region;the first axis and the third axis are not parallel and preferably perpendicular to each other; andthe second axis and the third axis are not parallel and preferably perpendicular to each other to allow for a three-dimensional analysis of the fluid flow.
- A fluid flow analyzer (10), adapted to perform the method for analyzing a fluid flow (20) of one of claims 1 to 6, comprising:an emitter (12, 12a, 12b) for emitting electromagnetic radiation;wherein the fluid flow analyzer (10) is characterized bya first measurement region (24a) delimited by a first optical path of a first beam (16a) and a second optical path of a second beam (16b), wherein the first optical path differs from the second optical path; anda second measurement region (24b) delimited by a third optical path of a third beam (16c) and a fourth optical path of a fourth beam (16d), wherein the third optical path differs from the fourth optical path;a first sensor (22a) for detecting a first intensity of first electromagnetic radiation of a first interference pattern caused by the superimposed first and second beams (16a, 16b) on the first sensor (22a);a second sensor (22b) for detecting a second intensity of second electromagnetic radiation of a second interference pattern caused by the superimposed third and fourth beams (16c, 16d) on the second sensor (22b); anda computing device (26) for determining a temporal shift (Δt) at which a correlation between the first intensity and the second intensity has a local maximum;wherein the first and second beams (16a, 16b) are focused to different spots within the fluid flow (20);wherein the third and fourth beams (16c, 16d) are focused to different spots within the fluid flow (20); andwherein a distance (D) between centers of the measurement regions (24a, 24b) is 0.01 m or less.
- The fluid flow analyzer (10) of claim 7,wherein the computing device (26) is configured to neglect intensity variations and/or local maxima caused by sound waves; orwherein the computing device (26) is configured to neglect intensity variations and/or local maxima caused by sound waves by filtering intensity variations that are below a threshold.
- The fluid flow analyzer (10) of claim 7 or 8,
wherein the computing device (26) is configured to determine a speed of the fluid flow (20) between the first measurement region (24a) and the second measurement region (24b) based on the temporal shift (Δt) and the distance (D) between the centers of the first measurement region (24a) and the second measurement region (24b). - The fluid flow analyzer (10) of claim 9,
wherein the first, second, third and fourth beam (16a, 16b, 16c, 16d) are derived by splitting a beam (14) emitted by the emitter (12).
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GB9916932D0 (en) * | 1999-07-16 | 1999-09-22 | Funes Gallanzi Marcelo | Method and apparatus for investigating fluid flow variables element characteristics and near-surface temperature and forces |
US6473705B1 (en) * | 2000-10-10 | 2002-10-29 | General Electric Company | System and method for direct non-intrusive measurement of corrected airflow |
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US7503227B2 (en) * | 2005-07-13 | 2009-03-17 | Cidra Corporate Services, Inc | Method and apparatus for measuring parameters of a fluid flow using an array of sensors |
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